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3 years ago

WHAT IS THE ANSWER TO : 85% IS 20 TO WHAT NUMBER

2 answers:

6 0

$85\% \ of \ x=20 \\\\ \frac{85}{100}*x=20 \\\\ \frac{17}{20}*x=20 \\\\ \frac{17}{20}=\frac{20}{x} \\\\ x=\frac{20*20}{17} \\\\ \boxed{x=\frac{400}{17}}$

svetoff [14.1K]3 years ago

6 0

Hey mariamilcayla can you help me im stuck on maths

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Find the midpoint between (4,-1) and (3,2)

zepelin [54]

Midpoint has form of,

$M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

We can insert the data,

$M(\dfrac{4+3}{2},\dfrac{-1+2}{2})$

Which simplifies to,

$\boxed{M(3.5, 0.5)}$

Hope this helps.

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3 years ago

Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

m_a_m_a [10]

$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$

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2 years ago

Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

3 years ago

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The radius of a circle measures 16 mm what is the circumference of the circle?

Zigmanuir [339]

The formula for the circumference of a circle is 3,14 (pi) x diameter. We know that the radius is half of the diameter so therefore you do 16x2= 32 —> 3,14x32= 100,48mm. Answer: 100.48mm

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3 years ago

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Which graph best represents a quadratic function that has only one zero?

GenaCL600 [577]

Answer:

Step-by-step explanation:

A has 2 it crosses the x axis 2x

B Has 1.

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D has none since it never touched the x axis

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2 years ago

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